Answer:
x=x
Step-by-step explanation:
4x-6+2x=3(2x-2)
4x+2x-6=6x-6
4x+2x=6x
6x=6x
x=x
Given that Dan bought a home theater system for $178.99 on the installment plan, and the terms of the contract is such that he will pay $35 in 6 months.
The total amount he paid by the end of the term will be:
amount=(monthly payment)*(number of months)
=35*6
=$210
b] Dan's Finance charge will be given by:
(total amount he paid)-(price of home theater)
=210-178.99
=$31.01
X2-2x-35=0x2-7x+5x-35=0x(x-7)+5(x-7)=0(x-7)(x+5)=0x-7=0 or x+5=0x=7 or x=-5 Check: x=7 ,LHS = 49-14-35 =0 =RHS x=-5, LHS = 25+10-35 =0=RHSAns: x=7 or x=-5
<span><span>x2</span>−x−12=0</span>
The sum of prime factors of 2014 is 74
<h3><u>Solution:</u></h3>
Given that to find sum of prime factors of 2014
Let us first find the prime factors of 2014
A prime number is a whole number greater than 1 whose only factors are 1 and itself
"Prime Factorization" is finding which prime numbers multiply together to make the original number.
<em><u>Prime factors of 2014:</u></em>
The Prime Factorization is:

Thus the prime factors of 2014 are 2, 19, 53
<em><u>Let us now find the sum of prime factors of 2014</u></em>
sum of prime factors of 2014 = 2 + 19 + 53 = 74
Thus the sum of prime factors of 2014 is 74